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Finding the Fourth Proportional to 10,496.64, 14,485.23 and 5,960.17

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Solution

The fourth proportional to 10,496.64, 14,485.23 and 5,960.17 is: 8,224.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.64 : 14,485.23 = 5,960.17 : x
  2. Step 2: Convert to fraction form
    10,496.64/14,485.23 = 5,960.17/x
  3. Step 3: Cross multiply
    10,496.64x = 14,485.23 × 5,960.17
  4. Step 4: Simplify right side
    10,496.64x = 86,334,433.29
  5. Step 5: Solve for x
    x = 86,334,433.29/10,496.64
  6. Step 6: Final answer
    x = 8,224.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.